Quiz about Unit 3: Real Number Systems & Number Theory TEST REVIEW

Question 1

What are all prime numbers divisible by?

Accepted Answer

1 and itself

Answer

1, 2, and itself

Answer

Every number from 1-10

Answer

They aren't divisable at all

Question 2

Prime numbers have:

Accepted Answer

Exactly 2 factors

Answer

2 pairs of factors

Answer

More than 2 factors

Answer

1 factor

Question 3

Composite numbers:

Accepted Answer

Have more than 2 factors

Answer

Are always bigger than prime numbers

Answer

Have 2 pairs of factors

Answer

Don't have factors

Question 4

Which number is NOT a factor of 10?

Accepted Answer

3

Answer

1

Answer

2

Answer

5

Question 5

Which is a prime number?

Accepted Answer

17

Answer

15

Answer

21

Answer

39

Question 6

Is 100 a prime or composite number?

Accepted Answer

Composite

Answer

Prime

Question 7

Which of the following numbers shows all of the factors of 12?

Accepted Answer

1,2,3,4,6,12

Answer

1,2,3,4,6,8,12

Answer

1,2,4,6,12

Answer

2,4,6,8,10,12

Question 8

Which of the following is a factor of 54?

Accepted Answer

9

Answer

4

Answer

7

Answer

5

Question 9

Is 33 a prime or composite number?

Accepted Answer

Composite

Answer

Prime

Question 10

Which list has only prime numbers?

Accepted Answer

2, 3, 5, 7

Answer

2, 3, 4, 5

Answer

1, 5, 7, 9

Answer

2, 4, 6, 8

Question 11

Which list is only composite numbers?

Accepted Answer

4, 6, 8

Answer

1, 3, 4

Answer

2, 4, 6

Answer

5, 6, 8

Question 12

Compare:  -9  __ -1

Accepted Answer

<

Answer

>

Answer

=

Question 13

Order from smallest to greatest:

8, 4, -5, 12, -14, 3

Accepted Answer

-14, -5, 3, 4, 8, 12

Answer

3, 4, -5, 8, 12, -14

Answer

12, -14, -5, 3, 4, 8

Answer

-5, -14, 3, 4, 8, 12

Question 14

10 + (-4) = ?

Accepted Answer

6

Answer

-6

Answer

14

Answer

-14

Question 15

5-19

Accepted Answer

-14

Answer

14

Answer

24

Answer

-24

Question 16

$$12-\left(-8\right)=.....$$

Accepted Answer

20

Answer

-20

Answer

-4

Answer

4

Question 17

The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?

Accepted Answer

11 degrees

Answer

3 degrees

Answer

12 degrees

Answer

10 degrees

Question 18

$$5 imes\left(-6 ight)=....$$

Accepted Answer

-30

Answer

-11

Answer

-15

Answer

30

Question 19

Opposite of 142

Accepted Answer

-142

Answer

142

Answer

+142

Question 20

12 and -12 are example of ....

Accepted Answer

opposites

Answer

even numbers

Answer

negative numbers

Answer

absolute values

Question 21

What is the opposite of zero?

Accepted Answer

0

Answer

1

Answer

-1

Answer

it doesn't have one

Question 22

What is an integer?

Accepted Answer

Negative and positive whole number and 0

Answer

A whole number

Answer

A fraction

Answer

A negative number only

Question 23

$$6+\left(-6\right)$$

Accepted Answer

$$0$$

Answer

$$-12$$

Answer

$$-36$$

Answer

$$12$$

Question 24

$$-23+\left(-11\right)$$

Accepted Answer

$$-34$$

Answer

$$12$$

Answer

$$-12$$

Answer

$$34$$

Question 25

2 x 2 x 2 is the prime factorization of

Accepted Answer

8

Answer

6

Answer

12

Answer

22

Question 26

What number is never allowed in a factor tree?

Accepted Answer

1

Answer

13 (it's bad luck!)

Answer

8675309

Answer

2

Question 27

Use a number tree to find the prime factorization of 105

Accepted Answer

7x5x3

Answer

11x5x3

Answer

7x5x2x1

Answer

7x5x3x2

Question 28

$$9\cdot4-8\div2\cdot4$$

Accepted Answer

20

Answer

56

Answer

35

Answer

15

Question 29

$$5\left(17-6\right)+3^{3\ }$$

Accepted Answer

82

Answer

27

Answer

35

Answer

64

Question 30

What does the E in PEMDAS stand for?

Accepted Answer

Exponent

Answer

Exceptional

Answer

Egg

Question 31

Pick the correct order for Order of Operations

Accepted Answer

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Answer

Parentheses, Multiplication, Division, Addition, Exponents, Subtraction

Answer

Exponents, Multiplication, Division, Addition, Parentheses, Subtraction

Question 32

Multiply. Write your answer in simplest form.

Accepted Answer

5/6

Answer

27/40

Answer

-27/40

Answer

-5/6

Question 33

Find the product.

Accepted Answer

9/28

Answer

9/24

Answer

6/32

Answer

1/28

Question 34

What is the correct location of the decimal point in the product?
2.39 x 4.37 = 104443

Accepted Answer

10.4443

Answer

104.443

Answer

10444.3

Answer

1.04443

Question 35

$$0.8 imes\left(-2.1 ight)$$

Accepted Answer

-1.68

Answer

-16.8

Answer

-0.168

Answer

-168

Question 36

$$\left(\frac{2}{3} ight) imes\left(\frac{1}{2} ight) imes\left(-\frac{3}{4} ight)$$

Accepted Answer

$$-\frac{1}{4}$$

Answer

$$-\frac{2}{3}$$

Answer

$$\frac{1}{3}$$

Answer

$$-\frac{1}{2}$$

Question 37

Classify the Number: 120

Accepted Answer

Whole, integers rational

Answer

rational

Answer

whole

Answer

Whole, integer

Question 38

Convert each decimal to a fraction. 0.875 =

Accepted Answer

7/8

Answer

3/4

Answer

5/6

Answer

4/5

Question 39

Convert each decimal to a fraction. 0.90 (repeating) = ___

Accepted Answer

10/11

Answer

9/10

Answer

1/9

Answer

9/11

Question 40

Question 40.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 41

Question 41.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 42

$$4\sqrt{6}\cdot\sqrt{3}$$

Accepted Answer

$$12\sqrt{2}$$

Answer

$$4\sqrt{9}$$

Answer

$$\sqrt{72}$$

Answer

$$4\sqrt{18}$$

Question 43

Question 43.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 44

Question 44.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 45

Question 45.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 46

Question 46.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 47

Rationalize the denominator.

$$\frac{4}{\sqrt{5}}$$

Accepted Answer

$$\frac{4\sqrt{5}}{5}$$

Answer

$$\frac{\sqrt{5}}{4}$$

Answer

$$\frac{\sqrt{6}}{3}$$

Answer

$$\frac{5\sqrt{2}}{2}$$

Question 48

Simplify: $$\frac{\sqrt{2}}{\sqrt{8}}$$

Accepted Answer

$$\frac{1}{2}$$

Answer

$$\frac{\sqrt{2}}{2}$$

Answer

$$4$$

Answer

$$\frac{1}{\sqrt{2}}$$

Question 49

Question 49.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 50

Rationalize each denominator. Simplify the answer. $$\frac{4}{1\ +\sqrt{3}}$$

Accepted Answer

$$-2\ +2\sqrt{3}$$

Answer

$$2\ -2\sqrt{3}$$

Answer

$$4\ -2\sqrt{3}$$

Answer

$$-4\ -2\sqrt{3}$$

Question 51

What is the conjugate of:
$$5+\sqrt{7}$$

Accepted Answer

$$5-\sqrt{7}$$

Answer

18

Answer

$$5+\sqrt{7}$$

Answer

32

Question 52

What is the conjugate of:
$$6-3\sqrt{2}$$

Accepted Answer

$$6+3\sqrt{2}$$

Answer

$$3\sqrt{2}+6$$

Answer

$$6-3\sqrt{2}$$

Answer

18

Question 53

What property allows this statement to be true?
AB = BA

Accepted Answer

Commutative

Answer

Associative

Answer

Distributive

Question 54

What property allows this statement to be true?
(A + B) + C = A + ( B + C)

Accepted Answer

Associative

Answer

Commutative

Answer

Distributive

Question 55

Find an equivalent expression using the associative property:
7 + ( 8 + 9)

Accepted Answer

(7 + 8 ) + 9

Answer

7 + 8 + 9

Answer

8 + ( 7 + 9)

Answer

7 + 10

Question 56

Name the property:
1 ^_x 12 =12

Accepted Answer

Identity Property of Multiplication

Answer

Commutative Property of Multiplication

Answer

Multiplication Property of One

Answer

Distributive Property

Question 57

Name the property:
9 + 0 = 9

Accepted Answer

Identity Property of Addition

Answer

Identity Property of Multiplication

Answer

Associative Property of Addition

Answer

Additive Inverse Property

Question 58

What property is demonstrated here: 9x0=0

Accepted Answer

Zero Property

Answer

Inverse Property

Answer

Identity Property

Answer

Commutative

Question 59

How can 5 (3 + 9) be expressed using the distributive property?

Accepted Answer

5(3) + 5(9)

Answer

5(3) + (5 + 9)

Answer

5 + 9 = 9 + 5

Answer

(5 + 3) x (5 + 9)

Question 60

Simplify the expression:
8(5 + w)

Accepted Answer

40+8w

Answer

40 + w

Answer

85 + 8w

Answer

13+8w

Question 61

Which of the following is equivalent to 5(2x + 6)?

Accepted Answer

10x + 30

Answer

10x + 6

Answer

40x

Answer

2x + 30

Question 62

Identify the property
a(b + c) = ab + ac

Accepted Answer

Distributive

Answer

Associative of addtion

Answer

Commutative of addition

Answer

Inverse

Question 63

Identify the property 10+ (-10) = 0

Accepted Answer

Inverse of addition

Answer

Identity of addtion

Answer

associative of addition

Answer

symmetric

Question 64

(2 - 3) mod 15 =

Accepted Answer

14

Answer

1

Answer

4

Answer

7

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